Solve for f
f=\frac{x-7}{x}
x\neq 0
Solve for x
x=-\frac{7}{f-1}
f\neq 1
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fx=x-7
Reorder the terms.
xf=x-7
The equation is in standard form.
\frac{xf}{x}=\frac{x-7}{x}
Divide both sides by x.
f=\frac{x-7}{x}
Dividing by x undoes the multiplication by x.
1fx-x=-7
Subtract x from both sides.
fx-x=-7
Reorder the terms.
\left(f-1\right)x=-7
Combine all terms containing x.
\frac{\left(f-1\right)x}{f-1}=-\frac{7}{f-1}
Divide both sides by f-1.
x=-\frac{7}{f-1}
Dividing by f-1 undoes the multiplication by f-1.
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